Approximation of $m$-subharmonic functions in weighted energy classes with given boundary values
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866910997412839424 |
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| author | Van Phu, Nguyen |
| author_facet | Van Phu, Nguyen |
| contents | We first study subextensions of m-subharmonic functions in weighted energy classes with given boundary values. The results are used to approximate an m-subharmonic function in weighted energy classes with given boundary values by an increasing sequence of m-subharmonic functions defined on larger domains. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_05855 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Approximation of $m$-subharmonic functions in weighted energy classes with given boundary values Van Phu, Nguyen Complex Variables 32U05, 32W20 We first study subextensions of m-subharmonic functions in weighted energy classes with given boundary values. The results are used to approximate an m-subharmonic function in weighted energy classes with given boundary values by an increasing sequence of m-subharmonic functions defined on larger domains. |
| title | Approximation of $m$-subharmonic functions in weighted energy classes with given boundary values |
| topic | Complex Variables 32U05, 32W20 |
| url | https://arxiv.org/abs/2503.05855 |